Properties

Label 22743h
Number of curves $1$
Conductor $22743$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 22743h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22743.j1 22743h1 \([1, -1, 0, -96, 521]\) \(-13851/7\) \(-49738941\) \([]\) \(6048\) \(0.18173\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22743h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22743h do not have complex multiplication.

Modular form 22743.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - 3 q^{5} + q^{7} - 3 q^{8} - 3 q^{10} + q^{11} - 6 q^{13} + q^{14} - q^{16} - q^{17} + O(q^{20})\) Copy content Toggle raw display